85628201 has 16 divisors (see below), whose sum is σ = 93529728. Its totient is φ = 78086400.

The previous prime is 85628189. The next prime is 85628227. The reversal of 85628201 is 10282658.

It is a cyclic number.

It is not a de Polignac number, because 85628201 - 2²² = 81433897 is a prime.

It is a super-4 number, since 4×85628201⁴ (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85628251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73046 + ... + 74208.

It is an arithmetic number, because the mean of its divisors is an integer number (5845608).

Almost surely, 2^85628201 is an apocalyptic number.

It is an amenable number.

85628201 is a deficient number, since it is larger than the sum of its proper divisors (7901527).

85628201 is a wasteful number, since it uses less digits than its factorization.

85628201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85628201 is about 9253.5507239113. The cubic root of 85628201 is about 440.7634833299.

The spelling of 85628201 in words is "eighty-five million, six hundred twenty-eight thousand, two hundred one".